Stability of contact discontinuity for Jin-Xin relaxation system

doi:10.1016/j.jde.2007.12.002

CSpace > 应用数学研究所

	Stability of contact discontinuity for Jin-Xin relaxation system
	Huang, Feimin2,3 ; Pan, Ronghua 1; Wang, Yi2
	2008-03-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	244 期号:5 页码:1114-1140
摘要	In this paper, we first construct a contact wave for 1-dimensional Jin-Xin relaxation system [S. Jin, Z.P. Xin, The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Comm. Pure Appl. Math. 48 (1995) 235-2771. This wave serves as the relaxation version of contact discontinuity of the corresponding hyperbolic system at equilibrium. Such a contact wave is shown to be nonlinearly stable under small initial perturbation. The time-decay rate is also obtained by weighted energy estimates. (C) 2007 Elsevier Inc. All rights reserved.
DOI	10.1016/j.jde.2007.12.002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000254136700005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6731
专题	应用数学研究所
通讯作者	Pan, Ronghua
作者单位	1.Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA 2.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 3.Chinese Univ Hong Kong, IMS, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Pan, Ronghua,Wang, Yi. Stability of contact discontinuity for Jin-Xin relaxation system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2008,244(5):1114-1140.
APA	Huang, Feimin,Pan, Ronghua,&Wang, Yi.(2008).Stability of contact discontinuity for Jin-Xin relaxation system.JOURNAL OF DIFFERENTIAL EQUATIONS,244(5),1114-1140.
MLA	Huang, Feimin,et al."Stability of contact discontinuity for Jin-Xin relaxation system".JOURNAL OF DIFFERENTIAL EQUATIONS 244.5(2008):1114-1140.